A certain system has two components. There are 7 different models of the first component and 11 different models of the second. Any first component can be paired with any second component. A salesman must select 2 of the first component and 3 of the second to take on a sales call. How many different sets of components can the salesman take? Solution calculations C(7,2) * C(11,3) = (7!)/(2!*(7-2)!) * (11!)/(3!*(11-3)!) = (7!)/(2!*5!) * (11!)/(3!*8!) = (7*6*5*4*3*2*1)/(2*1 *5*4*3*2*1) * (11*10*9*8*7*6*5*4*3*2*1)/(3*2*1 *8* 7*6*5*4*3*2*1) = 27720.